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Finding the Fourth Proportional to 455.91, 683.57 and 301.46

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Solution

The fourth proportional to 455.91, 683.57 and 301.46 is: 451.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.91 : 683.57 = 301.46 : x
  2. Step 2: Convert to fraction form
    455.91/683.57 = 301.46/x
  3. Step 3: Cross multiply
    455.91x = 683.57 × 301.46
  4. Step 4: Simplify right side
    455.91x = 206,064.09
  5. Step 5: Solve for x
    x = 206,064.09/455.91
  6. Step 6: Final answer
    x = 451.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.